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arXiv:1509.06922 [math.GR]AbstractReferencesReviewsResources

Classification of finite groups generated by reflections and rotations

Christian Lange, Marina A. Mikhailova

Published 2015-09-23Version 1

We survey the existing parts of a classification of finite groups generated by orthogonal transformations in a finite-dimensional Euclidean space whose fixed point subspace has codimension one or two and extend it to a complete classification. These groups naturally arise in the study of the quotient of a Euclidean space by a finite orthogonal group and hence in the theory of orbifolds.

Comments: 38 pages, accepted by Transformation Groups
Categories: math.GR, math.DG
Subjects: 20E34, 20F55
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